87255300 has 144 divisors (see below), whose sum is σ = 278857152. Its totient is φ = 20889600.

The previous prime is 87255281. The next prime is 87255319. The reversal of 87255300 is 355278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87255281) and next prime (87255319).

It is a super-2 number, since 2×87255300² = 15226974756180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452004 + ... + 452196.

It is an arithmetic number, because the mean of its divisors is an integer number (1936508).

Almost surely, 2^87255300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87255300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139428576).

87255300 is an abundant number, since it is smaller than the sum of its proper divisors (191601852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87255300 is a wasteful number, since it uses less digits than its factorization.

87255300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 87255300 is about 9341.0545443221. The cubic root of 87255300 is about 443.5377666587.

The spelling of 87255300 in words is "eighty-seven million, two hundred fifty-five thousand, three hundred".